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5649660266240 = 285231270315107
BaseRepresentation
bin101001000110110100111…
…1111100100011100000000
3202000002202112112002102102
41102031221333210130000
51220031001012004430
620003230150405532
71122113563624364
oct122155177443400
922002675462372
105649660266240
111889009a30101
12772b379608a8
1331c9b72910a3
141576331a32a4
159be621c7345
hex52369fe4700

5649660266240 has 144 divisors (see below), whose sum is σ = 14123126642688. Its totient is φ = 2161295904768.

The previous prime is 5649660266227. The next prime is 5649660266249. The reversal of 5649660266240 is 426620669465.

It is a happy number.

It is a super-2 number, since 2×56496602662402 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5649660266249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 373968767 + ... + 373983873.

It is an arithmetic number, because the mean of its divisors is an integer number (98077268352).

Almost surely, 25649660266240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5649660266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7061563321344).

5649660266240 is an abundant number, since it is smaller than the sum of its proper divisors (8473466376448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5649660266240 is a wasteful number, since it uses less digits than its factorization.

5649660266240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27854 (or 27840 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 56.

The spelling of 5649660266240 in words is "five trillion, six hundred forty-nine billion, six hundred sixty million, two hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 256 320 368 460 640 736 920 1280 1472 1840 2944 3680 5888 7360 12703 14720 15107 25406 29440 30214 50812 60428 63515 75535 101624 120856 127030 151070 203248 241712 254060 292169 302140 347461 406496 483424 508120 584338 604280 694922 812992 966848 1016240 1168676 1208560 1389844 1460845 1625984 1737305 1933696 2032480 2337352 2417120 2779688 2921690 3251968 3474610 3867392 4064960 4674704 4834240 5559376 5843380 6949220 8129920 9349408 9668480 11118752 11686760 13898440 16259840 18698816 19336960 22237504 23373520 27796880 37397632 44475008 46747040 55593760 74795264 88950016 93494080 111187520 186988160 191904221 222375040 373976320 383808442 444750080 767616884 959521105 1535233768 1919042210 3070467536 3838084420 4413797083 6140935072 7676168840 8827594166 12281870144 15352337680 17655188332 22068985415 24563740288 30704675360 35310376664 44137970830 49127480576 61409350720 70620753328 88275941660 122818701440 141241506656 176551883320 245637402880 282483013312 353103766640 564966026624 706207533280 1129932053248 1412415066560 2824830133120 5649660266240